Numerical simulations of flow through a variable permeability circular cylinder

2021 ◽  
Vol 33 (11) ◽  
pp. 117113
Author(s):  
Jared Penney ◽  
Marek Stastna
2020 ◽  
Author(s):  
Philipp Eichheimer ◽  
Marcel Thielmann ◽  
Wakana Fujita ◽  
Gregor J. Golabek ◽  
Michihiko Nakamura ◽  
...  

Abstract. Fluid flow on different scales is of interest for several Earth science disciplines like petrophysics, hydrogeology and volcanology. To parameterize fluid flow in large-scale numerical simulations (e.g. groundwater and volcanic systems), flow properties on the microscale need to be considered. For this purpose experimental and numerical investigations of flow through porous media over a wide range of porosities are necessary. In the present study we sinter glass bead media with various porosities. The microstructure, namely effective porosity and effective specific surface, is investigated using image processing. We determine flow properties like hydraulic tortuosity and permeability using both experimental measurements and numerical simulations. By fitting microstructural and flow properties to porosity, we obtain a modified Kozeny-Carman equation for isotropic low-porosity media, that can be used to simulate permeability in large-scale numerical models. To verify the modified Kozeny-Carman equation we compare it to the computed and measured permeability values.


2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Nikolai D. Botkin ◽  
Andrey E. Kovtanyuk ◽  
Varvara L. Turova ◽  
Irina N. Sidorenko ◽  
Renée Lampe

The aim of this paper consists in the derivation of an analytic formula for the hydraulic resistance of capillaries, taking into account the tube hematocrit level. The consistency of the derived formula is verified using Finite Element simulations. Such an effective formula allows for assigning resistances, depending on the hematocrit level, to the edges of networks modeling biological capillary systems, which extends our earlier models of blood flow through large capillary networks. Numerical simulations conducted for large capillary networks with random topologies demonstrate the importance of accounting for the hematocrit level for obtaining consistent results.


2016 ◽  
Vol 278 ◽  
pp. 350-360 ◽  
Author(s):  
Xiaolei Fan ◽  
Xiaoxia Ou ◽  
Fei Xing ◽  
Glen A. Turley ◽  
Petr Denissenko ◽  
...  

2009 ◽  
Vol 131 (11) ◽  
Author(s):  
Mathieu Martin ◽  
Chris Patton ◽  
John Schmitt ◽  
Sourabh V. Apte

Flow maldistribution, resulting from bubbles or other particulate matter, can lead to drastic performance degradation in devices that employ parallel microchannels for heat transfer. In this work, direct numerical simulations of fluid flow through a prescribed parallel microchannel geometry are performed and coupled with active control of actuated microvalves to effectively identify and reduce flow maldistribution. Accurate simulation of fluid flow through a set of three parallel microchannels is achieved utilizing a fictitious-domain representation of immersed objects such as microvalves and artificially introduced bubbles. Flow simulations are validated against experimental results obtained for flow through a single high-aspect ratio microchannel, flow around an oscillating cylinder, and flow with a bubble rising in an inclined channel. Results of these simulations compare very well to those obtained experimentally, and validate the use of the solver for the parallel microchannel configuration of this study. System identification techniques are employed on numerical simulations of fluid flow through the geometry to produce a lower dimensional model that captures the essential dynamics of the full nonlinear flow, in terms of a relationship between valve angles and the exit flow rate for each channel. A model-predictive controller is developed, which employs this reduced order model to identify flow maldistribution from exit flow velocities and to prescribe actuation of channel valves to effectively redistribute the flow. Flow simulations with active control are subsequently conducted with artificially introduced bubbles. The model-predictive control methodology is shown to adequately reduce flow maldistribution by quickly varying channel valves to remove bubbles and to equalize flow rates in each channel.


2013 ◽  
Vol 219 (13) ◽  
pp. 7225-7235 ◽  
Author(s):  
Luděk Beneš ◽  
Petr Louda ◽  
Karel Kozel ◽  
Radka Keslerová ◽  
Jaroslav Štigler

Author(s):  
Mingqing Xiao ◽  
Yuan Lin ◽  
R. Chris Camphouse ◽  
James Myatt ◽  
Siva Banda

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